{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,2]],"date-time":"2026-07-02T22:15:00Z","timestamp":1783030500994,"version":"3.54.6"},"reference-count":41,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11801295"],"award-info":[{"award-number":["11801295"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11971024"],"award-info":[{"award-number":["11971024"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-1715012"],"award-info":[{"award-number":["DMS-1715012"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-200850"],"award-info":[{"award-number":["DMS-200850"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100007129","name":"Natural Science Foundation of Shandong Province","doi-asserted-by":"publisher","award":["ZR2018BA008"],"award-info":[{"award-number":["ZR2018BA008"]}],"id":[{"id":"10.13039\/501100007129","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Math. Anal."],"published-print":{"date-parts":[[2023,8,31]]},"DOI":"10.1137\/22m1487692","type":"journal-article","created":{"date-parts":[[2023,7,20]],"date-time":"2023-07-20T08:15:42Z","timestamp":1689840942000},"page":"2917-2947","source":"Crossref","is-referenced-by-count":12,"title":["Singularity Formation for Radially Symmetric Expanding Wave of Compressible Euler Equations"],"prefix":"10.1137","volume":"55","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4823-8734","authenticated-orcid":true,"given":"Hong","family":"Cai","sequence":"first","affiliation":[{"name":"Department of Mathematics, Qingdao University of Science and Technology, Qingdao 266061, P.R. China."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Geng","family":"Chen","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Kansas, Lawrence, KS 66045 USA."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1345-3335","authenticated-orcid":true,"given":"Tian-Yi","family":"Wang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, School of Science, Wuhan University of Technology, Wuhan, Hubei 430070, P. R. China."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2023,7,20]]},"reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01231301"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-2578-2"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.2307\/121020"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/BF02392822"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1142\/S0219891611002536"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1512\/iumj.2017.66.5988"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1137\/20M1316603"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1137\/16M1062818"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-015-0854-1"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1142\/S0219891613500069"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1017\/S0308210500023635"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-015-2376-y"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-021-01742-4"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/BF02877431"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.4171\/192"},{"key":"ref17","series-title":"Surveys of Modern Mathematics 9","volume-title":"Compressible Flow and Euler\u2019s Equations","author":"Christodoulou D.","year":"2014"},{"key":"ref18","volume-title":"Supersonic Flow and Shock Waves","author":"Courant R.","year":"1948"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-22019-1"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/s00021-016-0309-y"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1137\/20M1340241"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.3160270307"},{"key":"ref24","series-title":"Res. Notes Math. 127","first-page":"65","volume-title":"Nonlinear Variational Problems (Isola d\u2019Elba, 1983)","author":"Klainerman S.","year":"1985"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-02-02982-3"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1063\/1.1704154"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1016\/j.matpur.2007.07.004"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.4310\/MRL.2013.v20.n1.a4"},{"key":"ref29","volume-title":"Global Classical Solutions for Quasilinear Hyperbolic System","author":"(Daqian) Li T.","year":"1994"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/0362-546X(95)00228-N"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(87)90253-8"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(79)90082-2"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1007\/s00222-018-0799-8"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1007\/BF03167276"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1007\/BF03167230"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1007\/BF03167220"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1007\/BF03167100"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.4007\/annals.2022.196.2.3"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-1989-0984811-5"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1007\/BF01210741"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1353\/ajm.1997.0014"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1007\/s00205-017-1106-3"},{"key":"ref43","first-page":"349","volume":"33","author":"Stokes G. G.","year":"1848","journal-title":"Philos. Mag."}],"container-title":["SIAM Journal on Mathematical Analysis"],"original-title":[],"language":"en","deposited":{"date-parts":[[2023,8,31]],"date-time":"2023-08-31T18:20:12Z","timestamp":1693506012000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/22M1487692"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,7,20]]},"references-count":41,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2023,8,31]]}},"alternative-id":["10.1137\/22M1487692"],"URL":"https:\/\/doi.org\/10.1137\/22m1487692","relation":{},"ISSN":["0036-1410","1095-7154"],"issn-type":[{"value":"0036-1410","type":"print"},{"value":"1095-7154","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,7,20]]}}}